For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range.
the vertex is (-2, 4), the domain is all real numbers, and the range is y? 4.
the vertex is (-2, 4), the domain is all real numbers, and the range is y s 4.
the vertex is (2, 4), the domain is all real numbers, and the range is y s 4.
the vertex is (2, 4), the domain is all real numbers, and the range is y 2 4.

The vertex is (2, 4), the domain is all real numbers, and the range is y≥ 4

Step-by-step explanation:

we have

This is the equation of a vertical parabola in vertex form

where

a is a coefficient

(h,k) is the vertex

if a > 0 the parabola open upward and the vertex is a minimum

if a < 0 the parabola open downward and the vertex is a maximum

In this problem we have

a=1

so

the parabola open upward and the vertex is a minimum

The vertex is the point (2,4)

The domain is the interval -----> (-∞,∞)

The domain is all real numbers

The range is the interval ----> [4,∞)

The range is all real numbers greater than or equal to 4

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>